A monoatomic gas (gamma=5//3) is suddenl...

A monoatomic gas `(gamma=5//3)` is suddenly compressed to `(1//8)` of its volume adiabatically then the pressure of the gas will change to

A

`(24)/(5)`

B

8

C

`(40)/(3)`

D

32 times its initial pressure

Verified by Experts

The correct Answer is:

D

`PV^(gamma)` = constant `implies (P_2)/(P_1)=((V_1)/(V_2))^(gamma) implies P_2=(8)^(5//3)P_1`
`implies P_2 = 32 P_1`

Similar Questions

Explore conceptually related problems

A monoatomic gas is suddenly compressed to 1//8 of its original volume adiabatically. The pressure of gas will change to :

A polyatomic gas (lambda=(4)/(3)) is compressed to (1)/(8) of its voulme Adiabatically. If initial pressure is P_(0) , Its mew perssure will be

A gas for which gamma=1.5 is suddenly compressed to 1//4 th of the initial volume. Then the ratio of the final to initial pressure is

A gas is compressed adiabatically to half its volume. By what factor does the pressure of the gas increase?